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oee [108]
3 years ago
10

Explain weather or not the two triangles below could lie on the same line. Be sure to use the slope of each triangle in your jus

tification.

Mathematics
1 answer:
KonstantinChe [14]3 years ago
5 0

Answer:

No, these triangles cannot lie on the same line.

Step-by-step explanation:

For two triangles to lie on the same line they must have the same slope.

The slope of the bigger triangle is

m=\frac{rise}{run} =-\frac{18}{10} =-1.8

and the slope of the smaller triangle is

m=\frac{rise}{run} =-\frac{2}{3} =-0.67

slopes are negative because the triangles are leaning to the left.

We see that the slopes of the two triangles are not the same; therefore, they cannot lie on the same line.

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What is the factored form of 15x - 6
alexandr402 [8]

Answer:

3(5x - 2)

Step-by-step explanation:

7 0
3 years ago
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Necesito ayuda con está preguntas
prisoha [69]

Answer:

para el primer dibujo seria 1/12

para el segundo dibujo seria 1/16

para el tercer dibujo seria 1/10, pero tengo dudas con esta porque no se ve toda la figura.

Step-by-step explanation:

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3 years ago
Emergency 911 calls to a small municipality in Idaho come in at the rate of one every two minutes. Assume that the number of 911
nordsb [41]

Answer: a) 30, b) 0.2138, c) 0.0820

Step-by-step explanation:

Since we have given that

X be the number of calls in 1 hour = 60 minutes

Rate of one call every two minutes.

\lambda=\dfrac{1}{2}

(a) What is the expected number of 911 calls in one hour?

\lambda=\dfrac{1}{2}\times 60=30

(b) What is the probability of three 911 calls in five minutes? If required, round your answer to four decimal places.

\lambda=\dfrac{1}{2}\times 5=2.5

Number of calls = 3

So, P(X=3) is given by

P(X=3)=\dfrac{e^{-\lambda}\lambda^x}{x!}\\\\P(X=3)=\dfrac{e^{-2.5}\times (2.5)^3}{3!}\\\\P(X=3)=0.2138

(c) What is the probability of no 911 calls during a five-minute period? If required, round your answer to four decimal places.

P(X=0)=\dfrac{e^{-2.5}(2.5)^0}{0!}=0.0820

Hence, a) 30, b) 0.2138, c) 0.0820

4 0
3 years ago
Factor-
Nastasia [14]

Hello from MrBillDoesMath!

Answer:

See Discussion section below

Discussion:

2x^2 + 5x + 3  = (2x+3)(x+1) which is Choice 3


3x^2+10x+4  =-1/3 (-3 x + sqrt(13) - 5) (3 x + sqrt(13) + 5)

I don't think any of the provided choices are right!


8x^2+10x-3 = (2x+3)(4x-1) which is Choice 2


6x^2-7x-4 = -1/24 (-12 x + sqrt(145) + 7) (12 x + sqrt(145) - 7)

I don't think any of the provided choices are right!


2x^2+x-28  =  (2x-7)(x+4) which is Choice 2


Thank you,

MrB

4 0
3 years ago
Find the median for the given set of data.
Natasha_Volkova [10]
0.985 is the median.

I hope this helped
8 0
2 years ago
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